Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 343 · 40 questions

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

1. 1.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 ÷ 5 + 2 − 14?
2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 18 + 19 × 2 − 2?
3. 3.If + means −, − means ÷, × means + and ÷ means ×, what is 7 + 17 × 12 ÷ 11?
4. 4.If + means ÷, − means +, × means − and ÷ means ×, what is 18 ÷ 6 − 12 × 20?
5. 5.If + means ÷, − means +, × means − and ÷ means ×, what is 13 × 9 − 12 ÷ 8?
6. 6.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 10 ÷ 6 × 12?
7. 7.If + means ÷, − means ×, × means + and ÷ means −, what is 6 − 6 + 2 × 7?
8. 8.If + means ×, − means ÷, × means − and ÷ means +, what is 20 − 5 ÷ 6 + 4?
9. 9.If + means ÷, − means ×, × means − and ÷ means +, what is 20 × 10 + 10 ÷ 17?
10. 10.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 3 ÷ 5 × 2?
11. 11.If + means ÷, − means +, × means − and ÷ means ×, what is 3 − 4 ÷ 20 × 18?
12. 12.If + means ÷, − means +, × means − and ÷ means ×, what is 10 − 14 ÷ 12 + 7?
13. 13.If + means −, − means ÷, × means + and ÷ means ×, what is 4 × 13 ÷ 20 + 20?
14. 14.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 2 × 2 + 2?
15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 19 × 19 + 16 − 15?
16. 16.If + means −, − means ÷, × means + and ÷ means ×, what is 5 ÷ 19 + 10 × 2?
17. 17.If + means −, − means ×, × means ÷ and ÷ means +, what is 4 − 20 + 20 ÷ 13?
18. 18.If + means ×, − means +, × means ÷ and ÷ means −, what is 9 + 5 × 9 − 7?
19. 19.If + means ×, − means ÷, × means + and ÷ means −, what is 4 + 18 − 2 ÷ 18?
20. 20.If + means −, − means +, × means ÷ and ÷ means ×, what is 3 ÷ 8 + 7 − 5?
21. 21.If + means −, − means +, × means ÷ and ÷ means ×, what is 2 − 16 ÷ 9 + 13?
22. 22.If + means ÷, − means ×, × means + and ÷ means −, what is 14 − 8 ÷ 15 + 3?
23. 23.If + means −, − means ÷, × means + and ÷ means ×, what is 15 × 16 ÷ 17 − 16?
24. 24.If + means ÷, − means ×, × means + and ÷ means −, what is 9 ÷ 17 × 6 − 8?
25. 25.If + means −, − means +, × means ÷ and ÷ means ×, what is 5 ÷ 13 − 19 + 20?
26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 4 + 2 × 5 ÷ 2?
27. 27.If + means ÷, − means ×, × means + and ÷ means −, what is 10 × 7 − 2 ÷ 11?
28. 28.If + means −, − means ×, × means ÷ and ÷ means +, what is 7 + 2 ÷ 6 − 5?
29. 29.If + means ×, − means +, × means ÷ and ÷ means −, what is 14 + 10 ÷ 15 − 11?
30. 30.If + means −, − means +, × means ÷ and ÷ means ×, what is 4 + 16 − 5 ÷ 13?
31. 31.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 − 2 + 2 ÷ 16?
32. 32.If + means ÷, − means +, × means − and ÷ means ×, what is 4 − 18 + 6 × 3?
33. 33.If + means ×, − means ÷, × means − and ÷ means +, what is 3 + 4 × 6 ÷ 17?
34. 34.If + means ÷, − means +, × means − and ÷ means ×, what is 15 + 3 ÷ 5 − 7?
35. 35.If + means ÷, − means ×, × means − and ÷ means +, what is 14 − 15 ÷ 5 × 5?
36. 36.If + means ×, − means ÷, × means + and ÷ means −, what is 16 ÷ 11 + 2 × 6?
37. 37.If + means ÷, − means ×, × means − and ÷ means +, what is 19 − 6 × 17 ÷ 3?
38. 38.If + means ÷, − means +, × means − and ÷ means ×, what is 14 × 17 − 15 ÷ 14?
39. 39.If + means ÷, − means ×, × means + and ÷ means −, what is 13 ÷ 7 × 18 − 15?
40. 40.If + means ×, − means ÷, × means + and ÷ means −, what is 14 + 2 × 19 ÷ 19?

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